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allsm [11]
3 years ago
12

What is the area of a parallelogram if its length is x+4 and its height is x+3

Mathematics
1 answer:
lord [1]3 years ago
8 0
Area of a parallelogram is:

\sf A=bh

Where 'b' is the base and 'h' is the height. Plug in what we know:

\sf A=(x+4)(x+3)

Distribute(multiply everything in the first parenthesis to everything in the second parenthesis):

\sf x\times x=x^2
\sf x\times 3=3x
\sf 4\times x=4x
\sf 4\times 3=12

So we have:

\sf A=x^2+3x+4x+12

Combine like terms(3x + 4x = 7x):

\sf A=\boxed{\sf x^2+7x+12}
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Write a compound inequality that each graph could represent for the following questions.
ivanzaharov [21]

Answer:

Part 67) x > -2  and x < 3

Part 68) x\leq -1  or  x\geq 1

Step-by-step explanation:

Part 67) we know that

The solution of the number line is the interval -------> (-2,3)

All real numbers greater than -2 and less than 3

so

The compound inequality could be

x > -2  and x < 3

"And” indicates that, both statements must be true at the same time

Part 68) we know that

The solution of the number line is the interval (-∞,-1] ∪ [1,∞)

All real numbers less than or equal to -1 or all real numbers greater than or equal to 1    

The compound inequality could be

x\leq -1  or  x\geq 1

"Or” indicates that, as long as either statement is true, the entire compound sentence is true

3 0
2 years ago
A figure is shown
Sunny_sXe [5.5K]

Answer:

C. 9×3 + 3×2

The area of the figure is 33 in.

3 0
2 years ago
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Two cars leave towns 300 kilometers apart at the same time and travel toward each other. One car's rate is 10 kilometers per hou
mel-nik [20]

300 \div 120 = 2.5
so 2.5 kilometers per second
3 0
2 years ago
Consider the vector b⃗ b→b_vec with length 4.00 mm at an angle 23.5∘∘ north of east. What is the y component bybyb_y of this vec
Stells [14]

Answer:

  • \large\boxed {1.59 mm}

Explanation:

<u>1. Given vector:</u>

  • length: 4.00 mm = magnitude of the vector
  • angle: 23.5º north of east = 23.5º from the x-axys (counterclockwise)

<u>2. y-component</u>

The y-component may be determined using the sine ratio, the angle from the x-axys (counterclockwise direction), and the magnitude of the vector.

  • sine (23.5º) = y-component / magnitude

  • y-component = magnitude × sine (23.5º) = 4.00 mm × sine (23.5º) = 1.59 mm.

  • \large\boxed{y-component = 1.59 mm}

7 0
2 years ago
X^2 - 10x - 20 = 0, which number would have to be added to "complete the square"?
Airida [17]

Answer:

45

Step-by-step explanation:

When you're completing the square you're adding (b/2)^2 which in this case is (-5)^2 or 25. This is because when you rewrite it as a square binomial you write it in the form (x+(b/2))^2 which is going to result in x^2+b+(b/2)^2. Since you need to reach 25 you need to add 45 since the last value is at -20.

3 0
1 year ago
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